Estimation of P(X < Y) using some modifications of ranked set sampling for Weibull distribution
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Dosyalar
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of the Punjab
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In statistical literature, estimation of R=P(X < Y) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling (SRS). However, in recent years, the ranked set sampling (RSS) method have been widely-used in the estimation of R. In this study, we consider the estimation of R when the distribution of the both stress and strength are Weibull under the modification of RSS, which are extreme ranked set sampling (ERSS), median ranked set sampling (MRSS) and percentile ranked set sampling (PRSS). We obtain the estimators of R using the maximum likelihood (ML) and the modified maximum likelihood (MML) methodologies under these modifications. Then the performances of proposed estimators are compared with the corresponding ML and MML estimators of R using SRS via a Monte-Carlo simulation study.
Açıklama
Anahtar Kelimeler
Efficiency, Extreme ranked set sampling, Median ranked set sampling, Percentile ranked set sampling, Stress-strength model
Kaynak
Pakistan Journal of Statistics and Operation Research
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
13
Sayı
4
